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Finding the Fourth Proportional to 557,684.47, 769,601.89 and 315,966.57

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Solution

The fourth proportional to 557,684.47, 769,601.89 and 315,966.57 is: 436,032.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,684.47 : 769,601.89 = 315,966.57 : x
  2. Step 2: Convert to fraction form
    557,684.47/769,601.89 = 315,966.57/x
  3. Step 3: Cross multiply
    557,684.47x = 769,601.89 × 315,966.57
  4. Step 4: Simplify right side
    557,684.47x = 243,168,466,957.77
  5. Step 5: Solve for x
    x = 243,168,466,957.77/557,684.47
  6. Step 6: Final answer
    x = 436,032.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.